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arXiv 1502.00347cond-mat.mes-hall
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温度梯度诱导输运的热矢势理论

Thermal vector potential theory of transport induced by temperature gradient

Gen Tatara

摘要:

基于热矢量势,提出了一种计算热输运系数的微观形式,热矢量势的时间导数与热力有关。形式主义是免费的非物理的分歧时,Luttinger的形式主义是天真地应用,因为平衡(\textquoteleft抗磁性\textquoteright)电流处理一致。如果用能量代替电荷,则热输运系数的数学结构与电输运系数的数学结构相同。结果表明,热矢势与能流之间的耦合是最小的。

英文摘要:

A microscopic formalism to calculate thermal transport coefficients is presented based on a thermal vector potential, whose time-derivative is related to a thermal force. The formalism is free from unphysical divergences reported to arise when Luttinger's formalism is applied naively, because the equilibrium (\textquoteleft diamagnetic\textquoteright) currents are treated consistently. The mathematical structure for thermal transport coefficients are shown to be identical with the electric ones if the electric charge is replaced by energy. The results indicates that the thermal vector potential couples to energy current via the minimal coupling.

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